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Finding the Fourth Proportional to 77,811.96, 116,710.74 and 21,652.92

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Solution

The fourth proportional to 77,811.96, 116,710.74 and 21,652.92 is: 32,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,811.96 : 116,710.74 = 21,652.92 : x
  2. Step 2: Convert to fraction form
    77,811.96/116,710.74 = 21,652.92/x
  3. Step 3: Cross multiply
    77,811.96x = 116,710.74 × 21,652.92
  4. Step 4: Simplify right side
    77,811.96x = 2,527,128,316.36
  5. Step 5: Solve for x
    x = 2,527,128,316.36/77,811.96
  6. Step 6: Final answer
    x = 32,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.